Using equations of the form y=f(x), you may be able to modify the graph in various ways.
For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)-1
-1 1 0
1 3 2
3 5 4
5 7 6
7 9 8
More problems related to the translation of shapes are given below.
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